6.2.2 Sudut Khas - Matematik Tambahan SPM

6.2.2 Sudut Khas

1. Nilai fungsi trigonometri bagi sudut-sudut khas

(a) Nilai bagi sudut khas 30^odan 60^o

\begin{array}{l} (a) \sin 30^{o} = \frac{1}{2} (b) k o s 30^{o} = \frac{\sqrt{3}}{2} (c) t a n 30^{o} = \frac{1}{\sqrt{3}} \\ (d) \sin 60^{o} = \frac{\sqrt{3}}{2} (e) k o s 60^{o} = \frac{1}{2} (f) t a n 60^{o} = \sqrt{3} \end{array}

(b) Nilai bagi sudut khas 45^o

(a) \sin 45^{o} = \frac{1}{\sqrt{2}} (b) k o s 45^{o} = \frac{1}{\sqrt{2}} (c) t a n 45^{o} = 1

(c) Nilai bagi sudut khas 0^o, 90^o, 180^o ,270^o ,360^o(i) Graf y = sin x, 0^o ≤ x ≤ 360^o

x	0^o	90^o	180^o	270^o	360^o
sin	0	1	0	-1	0

(ii) Graf y = kos x, 0^o ≤ x ≤ 360^o

(iii) Graf y = tan x, 0^o ≤ x ≤ 360^o

x	0^o	90^o	180^o	270^o	360^o
tan	0	∞	0	∞	0